Elliptic curve data - 208080.fj3

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '208080eu', 'Clabel': '208080eu1', 'Cnumber': 1, 'abc_quality': 1.0574800557012383, 'absD': 1938407064158160, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 4080, 'ainvs': [0, 0, 0, -5970162, 5614709051], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 208080, 'degree': 3538944, 'elladic_images': ['16.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3769298888720681258484946167', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 139, 'isogeny_degrees': [1, 2, 4], 'jinv': [83587439220736, 6885], 'lmfdb_iso': '208080.fj', 'lmfdb_label': '208080.fj3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2295, 43092], 'min_quad_twist_disc': 204, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0.i.1', '60.12.0-4.c.1.1', '120.24.0.?', '170.6.0.?', '204.12.0.?', '240.48.0.?', '340.12.0.?', '408.24.0.?', '680.48.0.?', '816.48.0.?', '1020.24.0.?', '1360.96.3.?', '2040.96.0.?', '4080.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.8569472573120004766813395808', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 13005], [3, 8, 23120], [5, 6, 41616], [17, 162, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.17996801232325680355369398215', 'prec': 103}, 'szpiro_ratio': 4.770700109152482, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 0, 1, 0, 0, -2, 0, 4, 8, -2, -4, -6, -6, -8, 12, -6, -12, 2, 16, 12, 6, -4, 0, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 208080, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '208080.fj', 'trace_hash': 859683445281280511}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.0086183659456675930248874516758', 'prec': 110}, 'conductor': 208080, 'gens': [[474895, 41995746, 19]], 'heights': [{'__RealLiteral__': 0, 'data': '5.8569472573120004766813395808', 'prec': 100}], 'lmfdb_label': '208080.fj3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.35692904850470482524513873784', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.3620584467784516443562582606789476588', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[1411, 0, 1]], 'xcoord_integral_points': [1411]}
• lmfdb_label 208080.fj3 does not appear in ec_iwasawa
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 9101269
    {'degree': 2, 'field': [-51, 0, 1], 'lmfdb_label': '208080.fj3', 'torsion': [4]}
  • id: 9101267
    {'degree': 2, 'field': [-21, -1, 1], 'lmfdb_label': '208080.fj3', 'torsion': [2, 2]}
  • id: 9101268
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '208080.fj3', 'torsion': [4]}
  • id: 9101270
    {'degree': 4, 'field': [81, 0, -33, 0, 1], 'lmfdb_label': '208080.fj3', 'torsion': [2, 4]}
  • id: 9101274
    {'degree': 8, 'field': [-944163, 0, -105672, 0, -3366, 0, 0, 0, 1], 'lmfdb_label': '208080.fj3', 'torsion': [6]}
  • id: 9101273
    {'degree': 8, 'field': [625, 0, -270, 0, 311, 0, -30, 0, 1], 'lmfdb_label': '208080.fj3', 'torsion': [8]}
  • id: 9101271
    {'degree': 8, 'field': [6036, -3996, 3922, 132, -25, -52, 22, -4, 1], 'lmfdb_label': '208080.fj3', 'torsion': [2, 4]}
  • id: 9101272
    {'degree': 8, 'field': [22201, 0, -8804, 0, 1146, 0, -59, 0, 1], 'lmfdb_label': '208080.fj3', 'torsion': [2, 8]}
  • id: 9101280
    {'degree': 16, 'field': [-113781864944, 12442666432, 36446127744, -4241476064, -4641528656, 602257440, 278621552, -43457728, -6056472, 1539152, -121888, -20760, 7384, 136, -96, -8, 1], 'lmfdb_label': '208080.fj3', 'torsion': [12]}
  • id: 9101276
    {'degree': 16, 'field': [41616, 0, 13056, 0, 9388, 0, 25844, 0, 16533, 0, 4258, 0, 567, 0, 38, 0, 1], 'lmfdb_label': '208080.fj3', 'torsion': [2, 8]}
  • id: 9101279
    {'degree': 16, 'field': [944784, 0, 316671120, 0, 29855952, 0, -7442496, 0, -1312500, 0, -74064, 0, -1260, 0, 28, 0, 1], 'lmfdb_label': '208080.fj3', 'torsion': [2, 6]}
  • id: 9101275
    {'degree': 16, 'field': [2076481, 0, -2007568, 0, 714818, 0, -128976, 0, 3875, 0, 2544, 0, 518, 0, 32, 0, 1], 'lmfdb_label': '208080.fj3', 'torsion': [4, 4]}
  • id: 9101278
    {'degree': 16, 'field': [4405633, 4444544, -2818078, -2911452, 669262, 764908, 15666, -179524, -15313, 32092, 1066, -3396, 20, 224, -12, -8, 1], 'lmfdb_label': '208080.fj3', 'torsion': [16]}
  • id: 9101277
    {'degree': 16, 'field': [12442342861, 111895104, 66563078, -312361552, 133399226, -909776, 3286210, -2475316, 618759, -28612, 18950, -7388, 1376, -84, 32, -8, 1], 'lmfdb_label': '208080.fj3', 'torsion': [16]}
  • id: 9101281
    {'degree': 16, 'field': [311698890000, 0, 103596751200, 0, 14303669200, 0, 572314560, 0, -3281208, 0, -615928, 0, -10416, 0, 0, 0, 1], 'lmfdb_label': '208080.fj3', 'torsion': [12]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 5155831
    {'conductor': 208080, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '208080.fj3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5155832
    {'conductor': 208080, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '208080.fj3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5155833
    {'conductor': 208080, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '208080.fj3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 5155834
    {'conductor': 208080, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '208080.fj3', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2995774
    {'adelic_gens': [[4065, 16, 4064, 17], [1, 2736, 348, 469], [1, 16, 0, 1], [1, 8, 8, 65], [3512, 4071, 1257, 1334], [2719, 0, 0, 4079], [1096, 9, 3831, 2746], [15, 166, 3794, 915], [1, 0, 16, 1], [3053, 2370, 1728, 3707]], 'adelic_image': '4080.192.3.?', 'conductor': 208080, 'lmfdb_label': '208080.fj3', 'prime': 0}
  • id: 768601
    {'conductor': 208080, 'elladic_image': '16.24.0.15', 'lmfdb_label': '208080.fj3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 208080.fj does not appear in ec_padic